The report adds that Courtois will sign a four-year contract with Real Madrid.
Both shone for their country at the World Cup in Russian Federation, where they claimed third-place in the tournament.
Hazard could command a world-record fee in excess of £200 million, but that apparently hasn't deterred Madrid, with Marca claiming the La Liga side are also in for the winger's teammate Thibaut Courtois.
Rumours have gathered pace his Courtois' heroics in Russian Federation during the FIFA World Cup and Belgian newspaper Het Laatste Nieuws has reported Real have already offered €55m (£48.5m) for the stopper.
"He is a player who has maturity and a lot of leadership. He could fit in any team in the world", Martinez was quoted as saying by Spanish radio show Cadena Ser's "El Larguero".
Chelsea are in the market for a new first-choice goalkeeper and Roma's Alisson is on their shortlist.
Chelsea sold the 36-year-old to the Gunners for around £10 million three years ago after losing his place to Courtois.
Paul Pogba's touching tribute to late father during France's World Cup celebrations
However, nothing had come from the player himself until just after the final whistle had blown in Moscow. Pogba played a key role in France's successful World Cup campaign.
Some of the recent transfer speculation involving Chelsea...
Chelsea goalkeeper Thibaut Courtois could reportedly complete his proposed move to European champions Real Madrid in the coming days.
"I will go on holiday and ask myself the right questions".
"After six wonderful years at Chelsea it might be time to discover something different certainly after this World Cup".
Hazard who scored three times in Russian Federation, added: 'I can decide if I want to stay or go, but Chelsea will make the final decision - if they want to let me go'.
- Bournemouth are planning to spend big on two South American World Cup stars, says The Sun.
Giroud became a key player for the Blues last season but the Mirror claim Sarri is prepared to let him go.